The Real Number System
eBook - ePub

The Real Number System

  1. 240 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Real Number System

About this book

Concise but thorough and systematic, this categorical discussion of the real number system presents a series of step-by-step axioms, each illustrated by examples. The highly accessible text is suitable for readers at varying levels of knowledge and experience: advanced high school students and college undergraduates as well as prospective high school and college instructors. The abundance of examples and the wealth of exercises—more than 300, all with answers provided—make this a particularly valuable book for self-study.
The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.

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Yes, you can access The Real Number System by John M. H. Olmsted in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. Contents
  6. Chapter 1: Fields
  7. Chapter 2: Ordered Fields
  8. Chapter 3: Natural Numbers and Mathematical Induction
  9. Chapter 4: Composite and Prime Numbers
  10. Chapter 5: Integers and Rational Numbers
  11. Chapter 6: Congruences and Finite Fields
  12. Chapter 7: Polynomials and Rational Functions
  13. Chapter 8: Intervals and Absolute Value
  14. Chapter 9: The Axiom of Completeness
  15. Chapter 10: Roots and Rational Exponents
  16. Chapter 11: Exponents and Logarithms
  17. Chapter 12: Decimal Expansions
  18. Appendix
  19. Answers to Problems
  20. List of Special Symbols
  21. Index